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Finding the Third Proportional to 57,860 and 120,326

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Solution

The third proportional to 57,860 and 120,326 is: 250,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,860 : 120,326 = 120,326 : x
  2. Step 2: Convert to fraction form
    57,860/120,326 = 120,326/x
  3. Step 3: Cross multiply
    57,860x = 120,326 × 120,326
  4. Step 4: Simplify right side
    57,860x = 14,478,346,276
  5. Step 5: Solve for x
    x = 14,478,346,276/57,860
  6. Step 6: Final answer
    x = 250,230.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.